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LCM for 24 and 228

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 24 and 228?

Answer

LCM of 24 and 228 is 456

(Four hundred fifty-six)

Finding LCM for 24 and 228 using GCF of these numbers

The first method to find LCM for numbers 24 and 228 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 24 and 228 is 12, so

LCM = (24 × 228) ÷ 12

LCM = 5472 ÷ 12

LCM = 456

Finding LCM for 24 and 228 by Listing Multiples

The second method to find LCM for numbers 24 and 228 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504

Multiples of 228: 228, 456, 684, 912

So the LCM for 24 and 228 is 456

Finding LCM for 24 and 228 by Prime Factorization

Another method to find LCM for numbers 24 and 228 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)

All Prime Factors of 228: 2, 2, 3, 19 (exponent form: 22, 31, 191)

23 × 31 × 191 = 456

See Also

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What is the LCM of 24 and 228?. Find the LCM of 24 and 228 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
9228684
102281140
112282508
12228228
132282964
142281596
152281140
16228912
172283876
18228684
19228228
202281140
212281596
222282508
232285244
24228456
252285700
262282964
272282052
282281596
292286612
302281140
312287068
322281824
332282508
342283876
352287980
36228684
372288436
38228228

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 24 and 228? (The answer is: 456). Select the first number (e.g. '24') and the second number (e.g. '228'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 24 and 228?

LCM of 24 and 228 is 456

How to find the LCM of 24 and 228 using prime factorization?

To find the LCM of 24 and 228, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 456.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 24 and 228: LCM = 456, GCF = 12.